Search: id:A000149
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%I A000149 M1751 N0695
%S A000149 1,2,7,20,54,148,403,1096,2980,8103,22026,59874,162754,442413,
%T A000149 1202604,3269017,8886110,24154952,65659969,178482300,485165195,1318815734,
%U A000149 3584912846,9744803446,26489122129,72004899337,195729609428
%N A000149 Floor(e^n).
%D A000149 Federal Works Agency, Work Projects Administration for the City of NY, 
               Tables of the Exponential Function. National Bureau of Standards, 
               Washington, DC, 1939.
%D A000149 A. Fletcher, J. C. P. Miller, L. Rosenhead and L. J. Comrie, An Index 
               of Mathematical Tables. Vols. 1 and 2, 2nd ed., Blackwell, Oxford 
               and Addison-Wesley, Reading, MA, 1962, Vol. 1, p. 230.
%D A000149 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000149 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A000149 T. D. Noe, <a href="b000149.txt">Table of n, a(n) for n=0..300</a>
%F A000149 a(n)^(1/n) converges to e because |1-a(n)/e^n|=|e^n-a(n)|/e^n < e^(-n) 
               and so a(n)^(1/n)=(e^n*(1+o(1))^(1/n)=e*(1+o(1). - Hieronymus Fischer 
               (Hieronymus.Fischer(AT)gmx.de), Jan 22 2006
%t A000149 a[n_]:=Floor[E^n]; [From Vladimir Orlovsky (4vladimir(AT)gmail.com), 
               Dec 12 2008]
%Y A000149 Bisection: A116472.
%Y A000149 Sequence in context: A027418 A035508 A018033 this_sequence A080041 A049681 
               A027120
%Y A000149 Adjacent sequences: A000146 A000147 A000148 this_sequence A000150 A000151 
               A000152
%K A000149 nonn,easy
%O A000149 0,2
%A A000149 N. J. A. Sloane (njas(AT)research.att.com).

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